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16404416 = 26725231
BaseRepresentation
bin111110100100…
…111111000000
31010212102121222
4332210333000
513144420131
61343334212
7256302200
oct76447700
933772558
1016404416
119294976
1255b1368
133524972
142270400
15169087b
hexfa4fc0

16404416 has 42 divisors (see below), whose sum is σ = 37874448. Its totient is φ = 7029120.

The previous prime is 16404413. The next prime is 16404449. The reversal of 16404416 is 61440461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16404413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 521 + ... + 5751.

Almost surely, 216404416 is an apocalyptic number.

16404416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18937224).

16404416 is an abundant number, since it is smaller than the sum of its proper divisors (21470032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16404416 is an equidigital number, since it uses as much as digits as its factorization.

16404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 16404416 is about 4050.2365363025. The cubic root of 16404416 is about 254.0896205542.

Adding to 16404416 its reverse (61440461), we get a palindrome (77844877).

The spelling of 16404416 in words is "sixteen million, four hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 5231 10462 20924 36617 41848 73234 83696 146468 167392 256319 292936 334784 512638 585872 1025276 1171744 2050552 2343488 4101104 8202208 16404416